First part of M. Jourdain's article in The Connoisseur on cutwork (reticilla) and punto in aria, early Italian geometric needle laces. It traces Venice's role and the influence of Eastern (Arab and Persian) geometric design, then describes how cutwork and reticilla were made by cutting or drawing threads from linen and covering them with buttonhole stitch, and how punto in aria developed from reticilla. Pattern books by Vinciolo, Vecellio and Parasole are cited. Illustrated with photographs of reticilla, needlepoint borders and a linen collar from the Victoria and Albert Museum and a private collection. The article ends with "To be continued."